Remnant Geometric Hall Response in a Quantum Quench.

@article{Wilson2016RemnantGH,
  title={Remnant Geometric Hall Response in a Quantum Quench.},
  author={Justin H. Wilson and Justin C. W. Song and Gil Refael},
  journal={Physical review letters},
  year={2016},
  volume={117 23},
  pages={
          235302
        }
}
Out-of-equilibrium systems can host phenomena that transcend the usual restrictions of equilibrium systems. Here, we unveil how out-of-equilibrium states, prepared via a quantum quench in a two-band system, can exhibit a nonzero Hall-type current-a remnant Hall response-even when the instantaneous Hamiltonian is time reversal symmetric (in contrast to equilibrium Hall currents). Interestingly, the remnant Hall response arises from the coherent dynamics of the wave function that retain a remnant… 

Figures from this paper

Time-resolved Hall conductivity of pulse-driven topological quantum systems

We address the question of how the time-resolved bulk Hall response of a two-dimensional honeycomb lattice develops when driving the system with a pulsed perturbation. A simple toy model that

Topological Invariants for Quantum Quench Dynamics from Unitary Evolution.

TLDR
The concept of loop unitary constructed from the unitary time-evolution operator is introduced and its homotopy invariant fully characterizes the dynamical topology, proving that the invariant is precisely equal to the change in the Chern number across the quench, regardless of the initial state.

Dynamical phase transitions in the collisionless pre-thermal statesof isolated quantum systems: theory and experiments.

We overview the concept of dynamical phase transitions in isolated quantum systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized by an order parameter, which

Dynamical topological quantum phase transitions for mixed states

We introduce and study dynamical probes of band structure topology in the post-quench time-evolution from mixed initial states of quantum many-body systems. Our construction generalizes the notion of

Slow quenches in two-dimensional time-reversal symmetric Z 2 topological insulators

We study the topological properties and transport in the Bernevig-Hughes-Zhang (BHZ) model undergoing a slow quench between different topological regimes. Due to the closing of the band gap during

Dynamical detection of mean-field topological phases in an interacting Chern insulator

Interactions generically have important effects on the topological quantum phases. For a quantum anomalous Hall (QAH) insulator, the presence of interactions can qualitatively change the topological

Non-equilibrium dynamics of Chern insulators

Topological states of matter exhibit a wealth of novel properties including the exact quantisation of macroscopic observables and the presence of edge states. In this thesis, we study the

Dynamics of edge currents in a linearly quenched Haldane model

In a finite time quantum quench of the Haldane model, the Chern number determining the topology of the bulk remains invariant, as long as the dynamics is unitary. Nonetheless, the corresponding

Effective decoherence of realistic clocks: General theory and application to a topological insulator

It has been well established that the evolution of an isolated quantum system can appear as undergoing pure dephasing to an observer using an imperfect clock. In this work, we apply this theory to

Scheme to equilibrate the Hall response of topological systems from coherent dynamics

Two-dimensional topologically distinct Chern insulators are separated by gap closing points, which exist as Weyl points in three-dimensional momentum space. Slowly varying parameters in the
...

References

SHOWING 1-10 OF 27 REFERENCES

Dynamical Buildup of a Quantized Hall Response from Nontopological States.

TLDR
A two-dimensional system initialized in a topologically trivial state before its Hamiltonian is ramped through a phase transition into a Chern insulator regime is considered, and a geometric picture of this phenomenology in terms of the time-dependent Berry curvature is provided.

Out-of-equilibrium electrons and the Hall conductance of a Floquet topological insulator

Graphene irradiated by a circularly polarized laser has been predicted to be a Floquet topological insulator showing a laser-induced quantum Hall effect. A circularly polarized laser also drives the

Observation of coherent quench dynamics in a metallic many-body state of fermionic atoms.

TLDR
The results show that coherent quench dynamics can serve as a sensitive probe for correlations in delocalized fermionic quantum states and for quantum metrology.

Anisotropic quantum quench in the presence of frustration or background gauge fields: A probe of bulk currents and topological chiral edge modes

Bosons and fermions, in the presence of frustration or background gauge fields, can form manybody ground states that support equilibrium 'charge' or 'spin' currents. Motivated by the experimental

Quantum Quenches in Chern Insulators.

TLDR
It is shown that, following a quantum quench, the edge currents relax towards new equilibrium values, and that there is light-cone spreading of the currents into the interior of the sample.

Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials.

TLDR
It is demonstrated that Hall-like currents can occur in second-order response to external electric fields in a wide class of time-reversal invariant and inversion breaking materials, at both zero and twice the driving frequency.

Dynamical topological order parameters far from equilibrium

We introduce a topological quantum number -- coined dynamical topological order parameter (DTOP) -- that is dynamically defined in the real-time evolution of a quantum many-body system and

Experimental realization of the topological Haldane model with ultracold fermions

TLDR
The experimental realization of the Haldane model and the characterization of its topological band structure are reported, using ultracold fermionic atoms in a periodically modulated optical honeycomb lattice and a direct extension to realize spin-dependent topological Hamiltonians is proposed.

Spinor Bose gases: Symmetries, magnetism, and quantum dynamics

Spinor Bose gases form a family of quantum fluids manifesting both magnetic order and superfluidity. This article reviews experimental and theoretical progress in understanding the static and dynamic

Response of fermions in Chern bands to spatially local quenches

We study the dynamical evolution of Chern-band systems after subjecting them to local quenches. For open-boundary systems, we show for half-filling that the chiral nature of edge states is manifested